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Approximate finite‐time control for a class of uncertain nonlinear systems with dynamic compensation
Author(s) -
Zhang Yongjun,
Zhao Jianli,
Zhang Fei,
Wang Jing
Publication year - 2017
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3792
Subject(s) - control theory (sociology) , nonlinear system , singular perturbation , duffing equation , compensation (psychology) , nonlinear control , robust control , robustness (evolution) , controller (irrigation) , stability (learning theory) , computer science , mathematics , control (management) , physics , psychology , mathematical analysis , biochemistry , chemistry , quantum mechanics , artificial intelligence , machine learning , biology , psychoanalysis , agronomy , gene
Summary In this work, a new robust nonlinear feedback control method with dynamic active compensation is proposed; the active control method has been applied to an integral series of finite‐time single‐input single‐output nonlinear system with uncertainty. In further tracking the closed‐loop stability and nonlinear uncertainty, an extended state observer has been employed to solve the immeasurability and nonlinear uncertainty within a nonlinear system. A singular perturbation theory has been used to solve for the finite‐time stability of the closed‐loop system; furthermore, numerical simulations showed that the robust nonlinear feedback controller tracked the uncertainty in a nonlinear Duffing‐type oscillator and has proven the effectiveness of the approximate finite‐time control strategy proposed. By using an approximate finite‐time control approach with active compensation, the uncertainty in a nonlinear system could be accurately estimated and controlled. Copyright © 2017 John Wiley & Sons, Ltd.